6264378450 has 432 divisors, whose sum is σ = 20310039360. Its totient is φ = 1370880000.

The previous prime is 6264378431. The next prime is 6264378457. The reversal of 6264378450 is 548734626.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 6264378396 and 6264378405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6264378457) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 41485875 + ... + 41486025.

It is an arithmetic number, because the mean of its divisors is an integer number (47013980).

Almost surely, 2^6264378450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6264378450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155019680).

6264378450 is an abundant number, since it is smaller than the sum of its proper divisors (14045660910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6264378450 is a wasteful number, since it uses less digits than its factorization.

6264378450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6264378450 is about 79147.8265652317. The cubic root of 6264378450 is about 1843.4272184922.

The spelling of 6264378450 in words is "six billion, two hundred sixty-four million, three hundred seventy-eight thousand, four hundred fifty".